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Atlas › Integer Profiles › Node 2,008,149

2,008,149

3 × 11 × 13 × 31 × 151
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 13 × 31 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,268,608
Proper Divisor Sum 1,260,459
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2008147 ← → #2008151

Radix Representation

Decimal 2008149
Binary 111101010010001010101 (21 bits)
Octal 0o7522125
Hexadecimal 0x1EA455

Divisor Catalog (32)

1 3 11 13 31 33 39 93 143 151 341 403 429 453 1,023 1,209 1,661 1,963 4,433 4,681 4,983 5,889 13,299 14,043 21,593 51,491 60,853 64,779 154,473 182,559 669,383 2,008,149

Collatz Trajectory (153 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,008,149 6,024,448 3,012,224 1,506,112 753,056 376,528 188,264 94,132 47,066 23,533 70,600 35,300 17,650 8,825 26,476 13,238 6,619 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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